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• W3096547095 abstract "The Cauchy problem for a higher order modification of the nonlinear Schrödinger equation (MNLS) on the line is shown to be well-posed in Sobolev spaces with exponent (s > frac{1}{4}). This result is achieved by demonstrating that the associated integral operator is a contraction on a Bourgain space that has been adapted to the particular linear symbol present in the equation. The contraction is proved by using microlocal analysis and a trilinear estimate that is shown via the ([k; Z])-multiplier norm method developed by Terence Tao." @default.
• W3096547095 created "2020-11-09" @default.
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• W3096547095 date "2021-06-30" @default.
• W3096547095 modified "2023-09-27" @default.
• W3096547095 title "Well-posedness for a modified nonlinear Schrödinger equation modeling the formation of rogue waves" @default.
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• W3096547095 doi "https://doi.org/10.30538/psrp-oma2021.0088" @default.
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